See ℵ₀ in All languages combined, or Wiktionary
{ "head_templates": [ { "args": { "1": "mul", "2": "symbol", "head": "ℵ₀" }, "expansion": "ℵ₀", "name": "head" } ], "lang": "Translingual", "lang_code": "mul", "pos": "symbol", "senses": [ { "categories": [ { "kind": "other", "name": "Pages with 1 entry", "parents": [], "source": "w" }, { "kind": "other", "name": "Pages with entries", "parents": [], "source": "w" }, { "kind": "other", "name": "Translingual entries with incorrect language header", "parents": [ "Entries with incorrect language header", "Entry maintenance" ], "source": "w" }, { "kind": "topical", "langcode": "mul", "name": "Mathematics", "orig": "mul:Mathematics", "parents": [ "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" }, { "kind": "topical", "langcode": "mul", "name": "Set theory", "orig": "mul:Set theory", "parents": [ "Mathematics", "Formal sciences", "Sciences", "All topics", "Fundamental" ], "source": "w" } ], "glosses": [ "aleph-null, the cardinality of a countably infinite set" ], "id": "en-ℵ₀-mul-symbol-VkInZtXu", "links": [ [ "mathematics", "mathematics" ], [ "set theory", "set theory" ], [ "aleph-null", "aleph-null#English" ], [ "countably infinite", "countably infinite#English" ] ], "raw_glosses": [ "(mathematics, set theory) aleph-null, the cardinality of a countably infinite set" ], "synonyms": [ { "sense": "countable infinite numbers", "word": "ω" } ], "topics": [ "mathematics", "sciences", "set-theory" ] } ], "word": "ℵ₀" }
{ "head_templates": [ { "args": { "1": "mul", "2": "symbol", "head": "ℵ₀" }, "expansion": "ℵ₀", "name": "head" } ], "lang": "Translingual", "lang_code": "mul", "pos": "symbol", "senses": [ { "categories": [ "Pages with 1 entry", "Pages with entries", "Translingual entries with incorrect language header", "Translingual lemmas", "Translingual symbols", "Translingual terms spelled with ₀", "Translingual terms spelled with ℵ", "mul:Mathematics", "mul:Set theory" ], "glosses": [ "aleph-null, the cardinality of a countably infinite set" ], "links": [ [ "mathematics", "mathematics" ], [ "set theory", "set theory" ], [ "aleph-null", "aleph-null#English" ], [ "countably infinite", "countably infinite#English" ] ], "raw_glosses": [ "(mathematics, set theory) aleph-null, the cardinality of a countably infinite set" ], "topics": [ "mathematics", "sciences", "set-theory" ] } ], "synonyms": [ { "sense": "countable infinite numbers", "word": "ω" } ], "word": "ℵ₀" }
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This page is a part of the kaikki.org machine-readable Translingual dictionary. This dictionary is based on structured data extracted on 2025-01-10 from the enwiktionary dump dated 2025-01-01 using wiktextract (df33d17 and 4ed51a5). The data shown on this site has been post-processed and various details (e.g., extra categories) removed, some information disambiguated, and additional data merged from other sources. See the raw data download page for the unprocessed wiktextract data.
If you use this data in academic research, please cite Tatu Ylonen: Wiktextract: Wiktionary as Machine-Readable Structured Data, Proceedings of the 13th Conference on Language Resources and Evaluation (LREC), pp. 1317-1325, Marseille, 20-25 June 2022. Linking to the relevant page(s) under https://kaikki.org would also be greatly appreciated.